Search a number
-
+
213312023122 = 21121751850273
BaseRepresentation
bin1100011010101001100…
…0110010101001010010
3202101121002012112012211
43012222120302221102
511443330334214442
6241554424542334
721261033165022
oct3065230625122
9671532175184
10213312023122
1182513092200
12354119219aa
131716623b333
14a47806da82
155836eac617
hex31aa632a52

213312023122 has 24 divisors (see below), whose sum is σ = 372388667868. Its totient is φ = 91256478720.

The previous prime is 213312023047. The next prime is 213312023123. The reversal of 213312023122 is 221320213312.

It can be written as a sum of positive squares in 2 ways, for example, as 206098748361 + 7213274761 = 453981^2 + 84931^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 213312023093 and 213312023102.

It is not an unprimeable number, because it can be changed into a prime (213312023123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25921023 + ... + 25929250.

Almost surely, 2213312023122 is an apocalyptic number.

213312023122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

213312023122 is a deficient number, since it is larger than the sum of its proper divisors (159076644746).

213312023122 is a wasteful number, since it uses less digits than its factorization.

213312023122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51850314 (or 51850303 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 213312023122 its reverse (221320213312), we get a palindrome (434632236434).

The spelling of 213312023122 in words is "two hundred thirteen billion, three hundred twelve million, twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 11 17 22 34 121 187 242 374 2057 4114 51850273 103700546 570353003 881454641 1140706006 1762909282 6273883033 9696001051 12547766066 19392002102 106656011561 213312023122